Impulsive Synchronization of Lü Chaotic System Based on Small Impulsive Signal |
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Authors: | Zhijun Peng Yang Li Xiaofeng Liao Chuandong Li |
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Institution: | (1) College of Mathematical Science, Chongqing University, Chongqing, 400030, People’s Republic of China;(2) College of Computer Science and Engineering, Chongqing University, Chongqing, 400030, People’s Republic of China |
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Abstract: | In this Letter the issue of impulsive synchronization of the Lü chaotic system is developed. We propose an impulsive synchronization
scheme of the Lü chaotic system including chaotic systems. Some new and sufficient conditions on varying impulsive distance
are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular,
some simple conditions are derived in synchronizing the systems by equal impulsive distances. The proposed impulsive synchronization
scheme is applied to the Lü chaotic system and the numerical example demonstrates the effectiveness of the method. The boundaries
of the stable regions are also estimated. |
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Keywords: | Chaos Impulsive synchronization Lü chaotic system |
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